Motion of a "small body" in non-metric gravity

Understand

We describe "small bodies" in a non-metric gravity theory previously studied by this author.

• The main dynamical field of the theory is a certain triple of two-forms rather than the metric, with only the spacetime conformal structure, not metric, being canonically defined.
• The theory is obtained from general relativity (GR) in Plebanski formulation by adding to the action a certain potential.
• Importantly, the modification does not change the number of propagating degrees of freedom as compared to GR.